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Finding the Fourth Proportional to 431,759.57, 647,640.56 and 165,601.67

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Solution

The fourth proportional to 431,759.57, 647,640.56 and 165,601.67 is: 248,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,759.57 : 647,640.56 = 165,601.67 : x
  2. Step 2: Convert to fraction form
    431,759.57/647,640.56 = 165,601.67/x
  3. Step 3: Cross multiply
    431,759.57x = 647,640.56 × 165,601.67
  4. Step 4: Simplify right side
    431,759.57x = 107,250,355,471.54
  5. Step 5: Solve for x
    x = 107,250,355,471.54/431,759.57
  6. Step 6: Final answer
    x = 248,402.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.